Finite element analysis of the two-competing-species Keller-Segel chemotaxis model
From MaRDI portal
Publication:6195909
DOI10.1007/s10598-023-09586-1OpenAlexW4387161655MaRDI QIDQ6195909
Akil J. Harfash, Sattar M. Hassan
Publication date: 14 March 2024
Published in: Computational Mathematics and Modeling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10598-023-09586-1
Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Operator theory (47-XX) Numerical analysis (65-XX)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The finite element approximation in a system of parabolic quasi-variational inequalities related to management of energy production with mixed boundary condition
- Finite volume methods for a Keller-Segel system: discrete energy, error estimates and numerical blow-up analysis
- Fully discrete analysis of a discontinuous finite element method for the keller-segel chemotaxis model
- Characteristic splitting mixed finite element analysis of Keller-Segel chemotaxis models
- Finite-element approximation for singularly perturbed nonlinear elliptic boundary-value problems
- The theta time scheme combined with a finite-element spatial approximation in the evolutionary Hamilton-Jacobi-Bellman equation with linear source terms
- A priori error estimates of mixed finite element methods for general semilinear elliptic optimal control problems
- An adaptive least-squares mixed finite element method for nonlinear parabolic problems
- Nonnegativity preserving convergent schemes for the thin film equation
- Numerical simulation of singularly perturbed reaction-diffusion equation using finite element method
- Existence of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers with variable density and viscosity
- Fundamental solution of generalized thermo-viscoelasticity using the finite element method
- Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis
- Simulation of a nonlinear Steklov eigenvalue problem using finite-element approximation
- Finite element analysis of a Keller-Segel model with additional cross-diffusion and logistic source. I: Space convergence
- Finite element analysis of nonlinear reaction-diffusion system of Fitzhugh-Nagumo type with Robin boundary conditions
- Finite element analysis of a two-species chemotaxis system with two chemicals
- Mixing finite elements and finite differences in nonlinear Schwarz iterations for nonlinear elliptic pdes
- Finite element analysis of attraction-repulsion chemotaxis system. I: Space convergence
- Finite element analysis of attraction-repulsion chemotaxis system. II: Time convergence, error analysis and numerical results
- Finite element approximation of a Keller-Segel model with additional self- and cross-diffusion terms and a logistic source
- A finite volume scheme for the Patlak-Keller-Segel chemotaxis model
- Finite element analysis of a Keller-Segel model with additional cross-diffusion and logistic source. II: Time convergence and numerical simulation
- Finite element approximation of finitely extensible nonlinear elastic dumbbell models for dilute polymers
- EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS II: HOOKEAN-TYPE MODELS
- Stabilization in a two-species chemotaxis system with a logistic source
- EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS I: FINITELY EXTENSIBLE NONLINEAR BEAD-SPRING CHAINS
- Existence of Global Weak Solutions to Some Regularized Kinetic Models for Dilute Polymers
- EXISTENCE OF GLOBAL WEAK SOLUTIONS TO DUMBBELL MODELS FOR DILUTE POLYMERS WITH MICROSCOPIC CUT-OFF
- Finite Element Approximation of Surfactant Spreading on a Thin Film
- Positivity-Preserving Numerical Schemes for Lubrication-Type Equations
- Analyse Numerique d’un Probleme de Stefan a Deux Phases Par une Methode d’Elements Finis
- EXISTENCE OF GLOBAL WEAK SOLUTIONS FOR SOME POLYMERIC FLOW MODELS
- A finite volume scheme for a Keller-Segel model with additional cross-diffusion
- Monotone combined edge finite volume–finite element scheme for Anisotropic Keller–Segel model
- Numerical simulation of chemotactic bacteria aggregation via mixed finite elements
- Finite element analysis of chemotaxis-growth model with indirect attractant production and logistic source
This page was built for publication: Finite element analysis of the two-competing-species Keller-Segel chemotaxis model